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We study theoretically the RKKY interaction between magnetic impurities on the surface of three-dimensional topological insulators, mediated by the helical Dirac electrons. Exact analytical expression shows that the RKKY interaction…

Materials Science · Physics 2012-06-18 Jia-Ji Zhu , Dao-Xin Yao , Shou-Cheng Zhang , Kai Chang

Magnetic interactions between impurity spins play a crucial role in determining magnetic configurations in spintronic systems. Using a Green's function formalism, we investigate Ruderman-Kittel-Kasuya-Yosida (RKKY) exchange interactions…

Mesoscale and Nanoscale Physics · Physics 2025-09-16 Anirban Kundu

We study the Ruderman-Kittel-Kasuya-Yoshida (RKKY) interaction mediated by helical edge states in quantum spin hall system. The helical edge states induce an in-plane noncollinear exchange coupling between two local spins, in contrast to…

Mesoscale and Nanoscale Physics · Physics 2011-05-05 Jinhua Gao , Weiqiang Chen , X. C. Xie , Fu-chun Zhang

Magnetic impurities affect the transport properties of the helical edge states of quantum spin Hall insulators by causing single-electron backscattering. We study such a system in the presence of a Rashba spin-orbit interaction induced by…

Mesoscale and Nanoscale Physics · Physics 2024-03-12 Erik Eriksson , Anders Ström , Gargee Sharma , Henrik Johannesson

We consider the superconducting proximity effect in a helical Luttinger liquid at the edge of a 2D topological insulator, and derive the low-energy Hamiltonian for an edge state tunnel-coupled to a s-wave superconductor. In addition to…

Mesoscale and Nanoscale Physics · Physics 2012-01-23 Pauli Virtanen , Patrik Recher

We analyze the dynamics of the helical edge modes of a quantum spin Hall state in the presence of a spatially non-uniform Rashba spin-orbit (SO) interaction. A randomly fluctuating Rashba SO coupling is found to open a scattering channel…

Mesoscale and Nanoscale Physics · Physics 2010-07-01 Anders Ström , Henrik Johannesson , G. I. Japaridze

We study strongly correlated helical liquids with and without Rashba coupling using quantum Monte Carlo simulations of the Kane-Mele model with a Hubbard interaction at the edge. Independent of the Rashba coupling, we find that interactions…

Strongly Correlated Electrons · Physics 2014-12-31 Martin Hohenadler , Fakher F. Assaad

We demonstrate in theory that it is possible to all-electrically manipulate the RKKY interaction in a quasi-one-dimensional electron gas embedded in a semiconductor heterostructure, in the presence of Rashba and Dresselhaus spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2010-09-07 Jia-Ji Zhu , Kai Chang , Ren-Bao Liu , Hai-Qing Lin

We study effects of a gate-controlled Rashba spin-orbit coupling to quantum spin-Hall edge states in HgTe quantum wells. A uniform Rashba coupling can be employed in tuning the spin orientation of the edge states while preserving the…

Mesoscale and Nanoscale Physics · Physics 2011-07-21 Jukka I. Väyrynen , Teemu Ojanen

The edge states of a quantum spin Hall insulator exhibit helical properties, which has generated significant interest in the field of spintronics. Although it is predicted theoretically that Rashba spin-orbit coupling can effectively…

Mesoscale and Nanoscale Physics · Physics 2025-03-12 Wei Luo , Yating Zhang , Wei Chen

The spin degree of freedom is crucial for both understanding and exploiting the particular properties of the edges of two-dimensional topological insulators. In the absence of superconductivity and magnetism, Rashba coupling is the most…

Mesoscale and Nanoscale Physics · Physics 2020-11-18 Lorenzo Privitera , Niccolò Traverso Ziani , Inès Safi , Björn Trauzettel

We study theoretically the statistical properties of the Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction between localized magnetic moments in a disordered two-dimensional electron gas with both Rashba and Dresselhaus spin-orbit couplings.…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 Stefano Chesi , Daniel Loss

The interaction between two impurity spins provides vital information about the host system and has been suggested to form a building block in quantum computation and spintronic devices. We here determine this Ruderman-Kittel-Kasuya-Yosida…

Mesoscale and Nanoscale Physics · Physics 2024-09-04 Morten Amundsen , Arne Brataas , Jacob Linder

We study theoretically the Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction in one- and two-dimensions in presence of a Rashba spin-orbit (SO) coupling. We show that rotation of the spin of conduction electrons due to SO coupling causes a…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Hiroshi Imamura , Patrick Bruno , Yasuhiro Utsumi

In this work we have investigated the effect of Rashba splitting on the RKKY interaction in TI thin film both at finite and zero chemical potential. We find that the spin susceptibility of Rashba materials including TI thin film is strongly…

Mesoscale and Nanoscale Physics · Physics 2017-07-14 Mahroo Shiranzaei , Fariborz Parhizgar , Hosein Cheraghchi

We present the effective low-energy theory for interacting 1D quantum wires subject to Rashba spin-orbit coupling. Under a one-loop renormalization group scheme including all allowed interaction processes for not too weak Rashba coupling,…

Mesoscale and Nanoscale Physics · Physics 2009-06-03 Andreas Schulz , Alessandro De Martino , Philip Ingenhoven , Reinhold Egger

We theoretically investigate the RKKY interaction in helical higher-order topological insulators (HOTIs), revealing distinct behaviors mediated by hinge and Dirac-type bulk carriers. Our findings show that hinge-mediated interactions…

Mesoscale and Nanoscale Physics · Physics 2025-05-22 Sha Jin , Jian Li , Qing-Xu Li , Jia-Ji Zhu

We consider the Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction between magnetic impurities on the surface of a three-dimensional topological insulator with proximity induced superconductivity. A superconductor placed on the top of the…

Mesoscale and Nanoscale Physics · Physics 2014-10-01 Alexander A. Zyuzin , Daniel Loss

We show that the paradigmatic Ruderman-Kittel-Kasuya-Yosida (RKKY) description of two local magnetic moments coupled to propagating electrons breaks down in helical Luttinger Liquids when the electron interaction is stronger than some…

Strongly Correlated Electrons · Physics 2018-04-10 Oleg M. Yevtushenko , Vladimir I. Yudson

The nontrivial spin texture on the (001) surface of topological crystalline insulator SnTe hosts exotic scientific importance and spintronic applications. Here, we study the effects of weak Floquet optical driving on the…

Strongly Correlated Electrons · Physics 2023-03-07 Mohsen Yarmohammadi , Marin Bukov , Michael H. Kolodrubetz
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